247416960 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 55050240.

The previous prime is 247416947. The next prime is 247416971. The reversal of 247416960 is 69614742.

It is a happy number.

It is a super-2 number, since 2×247416960² = 122430304191283200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550816 + ... + 551264.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^247416960 is an apocalyptic number.

247416960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

247416960 is an abundant number, since it is smaller than the sum of its proper divisors (677927040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247416960 is a wasteful number, since it uses less digits than its factorization.

247416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 247416960 is about 15729.4933166965. The cubic root of 247416960 is about 627.7833918335.

The spelling of 247416960 in words is "two hundred forty-seven million, four hundred sixteen thousand, nine hundred sixty".